Methods of Mathematical Modelling: Continuous Systems and Differential Equations

Thomas Witelski

ISBN 10: 3319230417 / ISBN 13: 9783319230412

Published by Springer International Publishing, 2015

About this Item

Leichte Abnutzungen. Focusing on mathematical modeling, this book outlines the integrated process of formulating equations to tackle real-world problems. It provides methods for solving complex differential equations related to various fields, including chemical reactions, population dynamics, mechanical systems, and fluid mechanics. The text serves as a resource for understanding how mathematical principles can be applied to diverse scientific and engineering challenges.

Seller Inventory # 4cec9ac6-d1bf-4d2b-8992-c57d3ab334da

Bibliographic Details

• Title: Methods of Mathematical Modelling: Continuous Systems and Differential Equations
• Publisher: Springer International Publishing
• Publication Date: 2015
• Language: English
• ISBN 10: 3319230417
• ISBN 13: 9783319230412
• Binding: Softcover
• Condition: As New

About this title

Synopsis

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics.

Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems.

Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

About the Author

Thomas Witelski is a Professor of Mathematics at Duke University specializing in nonlinear partial differential equations and fluid dynamics. He is a long-time participant in many study groups on mathematical modelling and industrial problems. He is the co-Editor-in-Chief of the Journal of Engineering Mathematics and also serves on the editorial board for the European Journal of Applied Mathematics. Witelski received his Ph.D. in Applied Mathematics from the California Institute of Technology in 1995 and was a postdoctoral fellow at the Massachusetts Institute of Technology.

Mark Bowen is an Associate Professor in the International Center for Science and Engineering Programs at Waseda University, where he teaches courses in differential equations and nonlinear dynamics. His expertise is in asymptotic analysis, nonlinear differential equations and fluid dynamics. He received his Ph.D. in Applied Mathematics in 1998 from the University of Nottingham.